321212132000 has 96 divisors (see below), whose sum is σ = 790397519184. Its totient is φ = 128292864000.

The previous prime is 321212131931. The next prime is 321212132023. The reversal of 321212132000 is 231212123.

It can be written as a sum of positive squares in 8 ways, for example, as 29305331344 + 291906800656 = 171188^2 + 540284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321212132000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632340 + ... + 2751660.

Almost surely, 2^321212132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321212132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395198759592).

321212132000 is an abundant number, since it is smaller than the sum of its proper divisors (469185387184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321212132000 is a wasteful number, since it uses less digits than its factorization.

321212132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120019 (or 120001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 321212132000 its reverse (231212123), we get a palindrome (321443344123).

The spelling of 321212132000 in words is "three hundred twenty-one billion, two hundred twelve million, one hundred thirty-two thousand".